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1=-5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
-5x=1
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{-5}
Divide both sides by -5.
x=-\frac{1}{5}
Fraction \frac{1}{-5} can be rewritten as -\frac{1}{5} by extracting the negative sign.